138226435200
138,226,435,200 is an even composite number composed of seven prime numbers multiplied together.
138226435200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138226435200:
27 × 34 × 52 × 7 × 29 × 37 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 29 × 37 × 71)See below for interesting mathematical facts about the number 138226435200 from the Numbermatics database.
Names of 138226435200
- Cardinal: 138226435200 can be written as One hundred thirty-eight billion, two hundred twenty-six million, four hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.382264352 × 1011
Factors of 138226435200
Divisors of 138226435200
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 29 30 32 35 36 37 40 42 45 48 50 54 56 58 60 63 64 70 71 72 74 75 80 81 84 87 90 96 100 105 108 111 112 116 120 126 128 135 140 142 144 145 148 150 160 162 168 174 175 180 185 189 192 200 203 210 213 216 222 224 225 232 240 252 259 261 270 280 284 288 290 296 300 315 320 324 333 336 348 350 355 360 370 378 384 400 405 406 420 426 432 435 444 448 450 464 480 497 504 518 522 525 540 555 560 567 568 576 580 592 600 609 630 639 640 648 666 672 675 696 700 710 720 725 740 756 777 783 800 810 812 840 852 864 870 888 896 900 925 928 945 960 994 999 1008 1015 1036 1044 1050 1065 1073 1080 1110 1120 1134 1136 1152 1160 1184 1200 1218 1260 1278 1295 1296 1305 1332 1344 1350 1392 1400 1420 1440 1450 1480 1491 1512 1554 1566 1575 1600 1620 1624 1665 1680 1704 1728 1740 1775 1776 1800 1827 1850 1856 1890 1917 1920 1988 1998 2016 2025 2030 2059 2072 2088 2100 2130 2146 2160 2175 2220 2240 2268 2272 2320 2331 2349 2368 2400 2436 2485 2520 2556 2590 2592 2610 2627 2664 2688 2700 2775 2784 2800 2835 2840 2880 2900 2960 2982 2997 3024 3045 3108 3132 3150 3195 3200 3219 3240 3248 3330 3360 3408 3456 3480 3550 3552 3600 3654 3700 3712 3780 3834 3885 3915 3976 3996 4032 4050 4060 4118 4144 4176 4200 4260 4292 4320 4350 4440 4473 4480 4536 4544 4640 4662 4698 4725 4736 4800 4872 4970 4995 5040 5075 5112 5180 5184 5220 5254 5325 5328 5365 5400 5481 5550 5568 5600 5670 5680 5751 5760 5800 5920 5964 5994 6048 6090 6177 6216 6264 6300 6390 6438 6475 6480 6496 6525 6660 6720 6816 6960 6993 7100 7104 7200 7308 7400 7455 7511 7560 7668 7770 7830 7881 7952 7992 8064 8100 8120 8236 8288 8325 8352 8400 8520 8584 8640 8700 8880 8946 9072 9088 9135 9280 9324 9396 9450 9585 9600 9657 9744 9940 9990 10080 10150 10224 10295 10360 10368 10440 10508 10650 10656 10730 10800 10962 11100 11136 11200 11340 11360 11502 11600 11655 11745 11840 11928 11988 12096 12180 12354 12425 12432 12528 12600 12780 12876 12950 12960 12992 13050 13135 13320 13419 13440 13632 13920 13986 14175 14200 14208 14400 14413 14616 14800 14910 14985 15022 15120 15225 15336 15540 15660 15762 15904 15975 15984 16095 16200 16240 16443 16472 16576 16650 16704 16800 17040 17168 17280 17400 17760 17892 18144 18270 18389 18531 18560 18648 18792 18900 19170 19314 19425 19488 19575 19880 19980 20160 20300 20448 20590 20720 20880 20979 21016 21300 21312 21460 21600 21924 22200 22365 22400 22533 22680 22720 23004 23200 23310 23490 23643 23680 23856 23976 24192 24360 24708 24850 24864 24975 25056 25200 25560 25752 25900 25920 25984 26100 26270 26640 26825 26838 27264 27405 27840 27972 28350 28400 28755 28800 28826 28971 29232 29600 29820 29970 30044 30240 30450 30672 30885 31080 31320 31524 31808 31950 31968 32190 32400 32480 32886 32944 33152 33300 33408 33600 34080 34336 34800 34965 35520 35784 36288 36540 36778 37062 37275 37296 37555 37584 37800 38340 38628 38850 38976 39150 39405 39760 39960 40257 40320 40600 40896 41180 41440 41760 41958 42032 42600 42624 42920 43200 43239 43848 44400 44730 45066 45360 45440 45675 46008 46400 46620 46980 47286 47712 47925 47952 48285 48720 49416 49700 49728 49950 50112 50400 51120 51475 51504 51800 51840 52200 52540 53280 53650 53676 54810 55167 55593 55680 55944 56700 56800 57510 57652 57942 58275 58464 58725 59200 59640 59940 60088 60480 60900 61344 61770 62160 62640 63048 63616 63900 63936 64380 64800 64960 65675 65772 65888 66600 67095 67200 67599 68160 68672 69600 69930 70929 71040 71568 72065 72576 73080 73556 74124 74550 74592 74925 75110 75168 75600 76183 76680 77256 77700 77952 78300 78810 79520 79920 80475 80514 81200 81792 82215 82360 82880 83520 83916 84064 85200 85840 86400 86478 86913 87696 88800 89460 90132 90720 91350 91945 92016 92655 92800 93240 93960 94572 95424 95850 95904 96570 97440 98832 99400 99456 99900 100224 100800 102240 102950 103008 103600 104400 104895 105080 106560 107300 107352 109620 110334 111186 111825 111888 112665 113400 113600 115020 115304 115884 116550 116928 117450 118215 118400 119280 119880 120176 120960 121800 122688 123540 124320 125280 126096 127800 127872 128760 129600 129717 129920 131350 131544 131776 133200 134190 135198 136320 137025 137344 139200 139860 141858 143136 143775 144130 144855 146160 147112 148248 149100 149184 149850 150220 150336 151200 152366 153360 154425 154512 155400 156600 157620 159040 159840 160950 161028 162400 164430 164720 165501 165760 166779 167040 167832 168128 170400 171680 172956 173826 174825 175392 177600 178920 180264 181440 182700 183890 184032 185310 186480 187775 187920 189144 190848 191700 191808 193140 194880 197025 197664 198800 199800 201285 201600 202797 204480 205900 206016 207200 208800 209790 210160 212787 213120 214600 214704 216195 219240 220668 222372 223650 223776 225330 226800 227200 228549 230040 230608 231768 233100 233856 234900 236430 238560 239760 240352 241425 243600 245376 247080 248640 250560 252192 255600 257520 259200 259434 262700 263088 263552 266400 268380 270396 274050 275835 277965 278400 279720 283716 286272 287550 288260 289710 292320 294224 296496 298200 298368 299700 300440 300672 302400 304732 306720 308850 309024 310800 313200 315240 318080 319680 321900 322056 324800 328860 329440 331002 333558 335475 335664 336256 337995 340800 343360 345912 347652 349650 350784 354645 355200 357840 360325 360528 362880 365400 367780 368064 370620 372960 375550 375840 378288 380915 383400 383616 386280 389151 389760 394050 395328 397600 399600 402570 405594 408960 411075 411800 412032 414400 417600 419580 420320 425574 429200 429408 432390 434565 438480 441336 444744 447300 447552 450660 453600 457098 459725 460080 461216 463275 463536 466200 469800 472860 477120 479520 480704 482850 487200 494160 496503 497280 501120 504384 511200 515040 518868 524475 525400 526176 532800 533281 536760 540792 548100 551670 555930 559440 563325 567432 572544 575100 576520 579420 584640 588448 591075 592992 596400 599400 600880 604800 608391 609464 613440 617700 618048 621600 626400 630480 639360 643800 644112 648585 649600 657720 658880 662004 667116 670950 671328 675990 681600 685647 686720 691824 695304 699300 701568 709290 715680 720650 721056 724275 730800 735560 736128 741240 745920 751100 751680 756576 761830 766800 772560 778302 788100 790656 795200 799200 805140 811188 822150 823600 827505 828800 833895 835200 839160 840640 851148 858400 858816 864780 869130 876960 882672 889488 894600 895104 901320 907200 914196 919450 920160 922432 926550 927072 932400 939600 945720 954240 959040 961408 965700 974400 988320 993006 1006425 1008768 1013985 1022400 1030080 1037736 1048950 1050800 1052352 1063935 1065600 1066562 1073520 1080975 1081584 1096200 1103340 1111860 1118880 1126650 1134864 1142745 1150200 1153040 1158840 1167453 1169280 1176896 1182150 1185984 1192800 1198800 1201760 1216782 1218928 1226880 1235400 1236096 1243200 1252800 1260960 1287600 1288224 1297170 1315440 1317760 1324008 1334232 1341900 1342656 1351980 1371294 1379175 1383648 1389825 1390608 1398600 1418580 1431360 1441300 1442112 1448550 1461600 1471120 1482480 1489509 1491840 1502200 1503360 1513152 1523660 1533600 1545120 1556604 1576200 1590400 1598400 1599843 1610280 1622376 1644300 1647200 1655010 1667790 1678320 1681280 1689975 1702296 1716800 1717632 1729560 1738260 1753920 1765344 1773225 1778976 1789200 1802640 1814400 1828392 1838900 1840320 1844864 1853100 1854144 1864800 1879200 1891440 1904575 1918080 1931400 1945755 1948800 1976640 1986012 2012850 2027970 2044800 2056941 2060160 2075472 2097900 2101600 2104704 2127870 2133124 2147040 2161950 2163168 2172825 2192400 2206680 2223720 2237760 2253300 2269728 2285490 2300400 2306080 2317680 2334906 2353792 2364300 2371968 2385600 2397600 2403520 2433564 2437856 2470800 2482515 2486400 2505600 2521920 2575200 2576448 2594340 2630880 2648016 2666405 2668464 2683800 2685312 2703960 2742588 2758350 2767296 2779650 2781216 2797200 2837160 2862720 2882600 2884224 2897100 2923200 2942240 2964960 2979018 3004400 3026304 3041955 3047320 3067200 3090240 3113208 3152400 3196800 3199686 3220560 3242925 3244752 3288600 3294400 3310020 3335580 3356640 3379950 3404592 3428235 3433600 3459120 3476520 3507840 3530688 3546450 3557952 3578400 3605280 3656784 3677800 3680640 3706200 3708288 3729600 3758400 3782880 3809150 3862800 3891510 3953280 3972024 4025700 4055940 4113882 4137525 4150944 4169475 4195800 4203200 4255740 4266248 4294080 4323900 4326336 4345650 4384800 4413360 4447440 4475520 4506600 4539456 4570980 4600800 4612160 4635360 4669812 4728600 4771200 4795200 4799529 4807040 4867128 4875712 4941600 4965030 5043840 5069925 5150400 5152896 5188680 5261760 5296032 5319675 5332810 5336928 5367600 5407920 5485176 5516700 5534592 5559300 5562432 5594400 5674320 5713725 5765200 5794200 5837265 5846400 5884480 5929920 5958036 6008800 6083910 6094640 6134400 6170823 6180480 6226416 6304800 6399372 6441120 6485850 6489504 6577200 6588800 6620040 6671160 6713280 6759900 6809184 6856470 6918240 6953040 7061376 7092900 7115904 7156800 7210560 7313568 7355600 7412400 7447545 7459200 7516800 7565760 7618300 7725600 7783020 7944048 7999215 8051400 8111880 8227764 8275050 8301888 8338950 8391600 8406400 8511480 8532496 8588160 8647800 8652672 8691300 8769600 8826720 8894880 9013200 9078912 9141960 9201600 9224320 9270720 9339624 9457200 9590400 9599058 9728775 9734256 9751424 9883200 9930060 10139850 10284705 10300800 10377360 10523520 10592064 10639350 10665620 10673856 10735200 10815840 10970352 11033400 11118600 11124864 11188800 11348640 11427450 11530400 11588400 11674530 11768960 11859840 11916072 12017600 12167820 12189280 12341646 12412575 12452832 12609600 12798744 12882240 12971700 12979008 13154400 13240080 13332025 13342320 13426560 13519800 13618368 13712940 13836480 13906080 14185800 14313600 14398587 14421120 14627136 14711200 14824800 14895090 15131520 15209775 15236600 15451200 15566040 15888096 15998430 16102800 16223760 16455528 16550100 16603776 16677900 16783200 17022960 17064992 17141175 17295600 17382600 17539200 17653440 17789760 18026400 18283920 18403200 18541440 18679248 18914400 19198116 19457550 19468512 19766400 19860120 20279700 20569410 20754720 21184128 21278700 21331240 21347712 21470400 21631680 21940704 22066800 22237200 22377600 22697280 22854900 23060800 23176800 23349060 23832144 23997645 24035200 24335640 24378560 24683292 24825150 24905664 25219200 25597488 25764480 25943400 25958016 26308800 26480160 26664050 26684640 27039600 27236736 27425880 27672960 27812160 28371600 28797174 29186325 29254272 29422400 29649600 29790180 30419550 30473200 30854115 30902400 31132080 31776192 31996860 32205600 32447520 32911056 33100200 33355800 33566400 34045920 34129984 34282350 34591200 34765200 35306880 35579520 36052800 36567840 37237725 37358496 37828800 38396232 38915100 38937024 39720240 39996075 40559400 41138820 41509440 42557400 42662480 42940800 43195761 43263360 43881408 44133600 44474400 45394560 45709800 46121600 46353600 46698120 47664288 47995290 48671280 48757120 49366584 49650300 49811328 51194976 51423525 51886800 52617600 52960320 53328100 53369280 54079200 54851760 55624320 56743200 57594348 58372650 58844800 59299200 59580360 60839100 60946400 61708230 62264160 63552384 63993720 64411200 64895040 65822112 66200400 66711600 67132800 68091840 68259968 68564700 69182400 69530400 71992935 72105600 73135680 74475450 74716992 75657600 76792464 77830200 77874048 79440480 79992150 81118800 82277640 83018880 85114800 85324960 86391522 87762816 88267200 88948800 91419600 92707200 93396240 95328576 95990580 97342560 98733168 99300600 102389952 102847050 103773600 105920640 106656200 106738560 108158400 109703520 113486400 115188696 116745300 119160720 119988225 121678200 121892800 123416460 124528320 127987440 128822400 129790080 131644224 132400800 133423200 136183680 137129400 138364800 139060800 143985870 146271360 148950900 149433984 153584928 154270575 155660400 158880960 159984300 162237600 164555280 170229600 170649920 172783044 176534400 177897600 182839200 186792480 190657152 191981160 194685120 197466336 198601200 204779904 205694100 207547200 213312400 215978805 216316800 219407040 226972800 230377392 233490600 238321440 239976450 243356400 243785600 246832920 249056640 255974880 263288448 264801600 266846400 274258800 278121600 287971740 297901800 307169856 308541150 311320800 317761920 319968600 324475200 329110560 340459200 341299840 345566088 359964675 365678400 373584960 383962320 389370240 394932672 397202400 411388200 415094400 426624800 431957610 438814080 460754784 466981200 476642880 479952900 486712800 493665840 511949760 529603200 533692800 548517600 575943480 595803600 614339712 617082300 622641600 639937200 648950400 658221120 680918400 691132176 719929350 731356800 747169920 767924640 789865344 794404800 822776400 853249600 863915220 921509568 933962400 953285760 959905800 973425600 987331680 1023899520 1079894025 1097035200 1151886960 1191607200 1234164600 1245283200 1279874400 1316442240 1382264352 1439858700 1535849280 1588809600 1645552800 1706499200 1727830440 1843019136 1867924800 1919811600 1946851200 1974663360 2159788050 2194070400 2303773920 2383214400 2468329200 2559748800 2764528704 2879717400 3071698560 3291105600 3455660880 3735849600 3839623200 3949326720 4319576100 4607547840 4766428800 4936658400 5119497600 5529057408 5759434800 6582211200 6911321760 7679246400 8639152200 9215095680 9873316800 11518869600 13822643520 15358492800 17278304400 19746633600 23037739200 27645287040 34556608800 46075478400 69113217600 138226435200
- Sum of all divisors σ(n): 628079443200
- Sum of proper divisors (its aliquot sum) s(n): 489853008000
- 138226435200 is an abundant number, because the sum of its proper divisors (489853008000) is greater than itself. Its abundance is 351626572800
Bases of 138226435200
- Binary: 100000001011101111000000000100100000002
- Hexadecimal: 0x202EF00480
- Base-36: 1RI0G800
Squares and roots of 138226435200
- 138226435200 squared (1382264352002) is 19106547388099799040000
- 138226435200 cubed (1382264352003) is 2641029934436906123135582208000000
-
The
square root of 138226435200 is 371788.1590368365 -
The
cube root of 138226435200 is 5170.4741274213
Scales and comparisons
How big is 138226435200?- 138,226,435,200 seconds is equal to 4,395 years, 9 weeks.
-
To count from 1 to 138,226,435,200 would take you about eight thousand, seven hundred ninety years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138226435200 cubic inches would be around 430.9 feet tall.
Recreational maths with 138226435200
- 138226435200 backwards is 002534622831
- 138226435200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138226435200's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138226435200 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138226435200 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138226435200/
Chicago style:
Numbermatics. 2024. "Number 138226435200 - Facts about the integer". https://numbermatics.com/n/138226435200/
The information we have on file for 138226435200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138226435200, math, Factors of 138226435200, curriculum, school, college, exams, university, Prime factorization of 138226435200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, two hundred twenty-six million, four hundred thirty-five thousand, two hundred.